One of the processes observed among elementary particles is the decay of the pi meson, a particle with the rest energy of 139.57 MeV. It decays into a muon and a neutrino. The muon has the rest energy of 105.45 MeV and the rest mass of the neutrino is much smaller than the rest mass of any other particle involved int his problem. For purposes of this problem you can assume that the neutrino is massless. You can also assume that pi-meson is originally at rest in the reference frame of the laboratory.

a) Find the momentum of the muon after the decay.

b) Find the total relativistic energy of the muon after the decay.

c) Find the momentum of the neutrino after the decay.

d) Find the total relativistic energy of the neutrino after the decay.